32 citations · 76 across the 39 of their papers we have counts for
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math.PR2007
A Feynman-Kac-type formula for the deterministic and stochastic wave equations
Robert C. Dalang, Carl Mueller, Roger Tribe
We establish a probabilistic representation for a wide class of linear deterministic p.d.e.s with potential term, including the wave equation in spatial dimensions 1 to 3. Our repr…
math.PR2007
Regularity of the density for the stochastic heat equation
Carl Mueller, David Nualart
We study the smoothness of the density of a semilinear heat equation with multiplicative spacetime white noise. Using Malliavin calculus, we reduce the problem to a question of neg…